6.13 Let k = 1 and Pi = U(i, i + 1), i = 0, 1. (a)

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6.13 Let k = 1 and Pi = U(i, i + 1), i = 0, 1.

(a) Show that a minimal sufficient statistic forP = {P0, P1}is T (X) = i ifi

(b) Let X1 and X2 be iid according to a distribution from P. Show that each of the two statistics T1 = T (X1) and T2 = T (X2) is sufficient for (X1, X2).

(c) Show that T (X1) and T (X2) are equivalent.

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Theory Of Point Estimation

ISBN: 9780387985022

2nd Edition

Authors: Erich L. Lehmann, George Casella

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